On higher order estimates in quantum electrodynamics
Oliver MatteInstitut für Mathematik TU Clausthal Erzstraße 1 38678 Clausthal-Zellerfeld Germany On leave from: Mathematisches Institut Ludwig-Maximilians- Universität Theresienatraße 39 80333 München Germany
We propose a new method to derive certain higher order estimates in quantum electrodynamics. Our method is particularly convenient in the application to the non-local semi-relativistic models of quantum electrodynamics as it avoids the use of iterated commutator expansions. We re-derive higher order estimates obtained earlier by Fröhlich, Griesemer, and Schlein and prove new estimates for a non-local molecular no-pair operator.
Cite this article
Oliver Matte, On higher order estimates in quantum electrodynamics. Doc. Math. 15 (2010), pp. 207–234DOI 10.4171/DM/295